398420 has 24 divisors (see below), whose sum is σ = 913248. Its totient is φ = 144800.

The previous prime is 398417. The next prime is 398423. The reversal of 398420 is 24893.

It is an interprime number because it is at equal distance from previous prime (398417) and next prime (398423).

It is a self number, because there is not a number n which added to its sum of digits gives 398420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 686 + ... + 1125.

It is an arithmetic number, because the mean of its divisors is an integer number (38052).

2³⁹⁸⁴²⁰ is an apocalyptic number.

It is an amenable number.

398420 is an abundant number, since it is smaller than the sum of its proper divisors (514828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

398420 is a wasteful number, since it uses less digits than its factorization.

398420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 398420 is about 631.2051964298. The cubic root of 398420 is about 73.5834891287.

It can be divided in two parts, 3984 and 20, that added together give a palindrome (4004).

The spelling of 398420 in words is "three hundred ninety-eight thousand, four hundred twenty".